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Simplifying Fractions Worksheet
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Simplifying Fractions Worksheet
Simplify each fraction by dividing the numerator and denominator by the same factor. Show your working where asked. A fraction is in its simplest form when its numerator and denominator have no common factor greater than 1.
Equivalent Fractions
1.Which fraction has the same value as 3/5?
- 6/10
- 6/15
- 4/10
- 9/10
2.Choose the fraction equivalent to 12/16 in simplest form.
- 2/3
- 3/4
- 4/5
- 6/8
3.Which fraction is equivalent to 5/10?
- 1/2
- 3/7
- 2/5
- 5/8
4.Write 6/9 in simplest form.
Finding Common Factors
5.The highest common factor of 18 and 30 is . Use it to simplify 18/30.
6.Simplify 14/35 by dividing the numerator and denominator by their highest common factor. State the factor and the simplified fraction.
7.Reduce 16/24 to its simplest form. Show the common factor you used.
8.Simplify 21/28. Show how you know the result cannot be reduced further.
Apply and Explain
9.Keira has used 15 of the 25 equal tiles in a mosaic. Write the part she has used as a fraction, then simplify it.
10.Match each fraction on the left with its simplest form on the right.
- 10/25
- 18/24
- 12/30
- 20/35
- 25/30
- 5/6
- 4/7
- 3/4
- 2/5
- 2/5
11.A container is 24/36 full of water. Simplify the fraction and explain what the numerator and denominator mean in your answer.
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